Base | Representation |
---|---|
bin | 100001111101110101111… |
… | …001000110101100100000 |
3 | 22021010211120212222220121 |
4 | 201331311321012230200 |
5 | 301220312124130012 |
6 | 4544142543050024 |
7 | 330431202244066 |
oct | 41756571065440 |
9 | 8233746788817 |
10 | 2334145145632 |
11 | 81a9a60a1403 |
12 | 3184585a0914 |
13 | 13c155468c61 |
14 | 80d8a774036 |
15 | 40ab315ba07 |
hex | 21f75e46b20 |
2334145145632 has 96 divisors (see below), whose sum is σ = 4772337015600. Its totient is φ = 1122870325248.
The previous prime is 2334145145509. The next prime is 2334145145653. The reversal of 2334145145632 is 2365415414332.
2334145145632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 1652140046736 + 682005098896 = 1285356^2 + 825836^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65671738 + ... + 65707270.
Almost surely, 22334145145632 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2334145145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386168507800).
2334145145632 is an abundant number, since it is smaller than the sum of its proper divisors (2438191869968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2334145145632 is a wasteful number, since it uses less digits than its factorization.
2334145145632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36198 (or 36190 counting only the distinct ones).
The product of its digits is 1036800, while the sum is 43.
The spelling of 2334145145632 in words is "two trillion, three hundred thirty-four billion, one hundred forty-five million, one hundred forty-five thousand, six hundred thirty-two".
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